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Finding the Fourth Proportional to 523,045.76, 784,490.88 and 190,544

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Solution

The fourth proportional to 523,045.76, 784,490.88 and 190,544 is: 285,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,045.76 : 784,490.88 = 190,544 : x
  2. Step 2: Convert to fraction form
    523,045.76/784,490.88 = 190,544/x
  3. Step 3: Cross multiply
    523,045.76x = 784,490.88 × 190,544
  4. Step 4: Simplify right side
    523,045.76x = 149,480,030,238.72
  5. Step 5: Solve for x
    x = 149,480,030,238.72/523,045.76
  6. Step 6: Final answer
    x = 285,787.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.